Here are summary statistics for randomly selected weights of newborn girls: n = 198, x = 31.5 hg, s= 7.9 hg. Construct a confidence interval estimate of the mean. Use a 98% confidence level. Are these results very different from the confidence interval 29.3 hg <µ< 34.1 hg with only 16 sample values, x= 31.7 hg, and s = 3.7 hg? ..... What is the confidence interval for the population mean u? hg
Here are summary statistics for randomly selected weights of newborn girls: n = 198, x = 31.5 hg, s= 7.9 hg. Construct a confidence interval estimate of the mean. Use a 98% confidence level. Are these results very different from the confidence interval 29.3 hg <µ< 34.1 hg with only 16 sample values, x= 31.7 hg, and s = 3.7 hg? ..... What is the confidence interval for the population mean u? hg
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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![Here are summary statistics for randomly selected weights of newborn girls:
- Sample size (n) = 198
- Sample mean (\(\bar{x}\)) = 31.5 hg
- Standard deviation (s) = 7.9 hg
Construct a confidence interval estimate of the mean using a 98% confidence level. Are these results very different from the confidence interval \(29.3 \, \text{hg} < \mu < 34.1 \, \text{hg}\) with only 16 sample values (\(\bar{x} = 31.7 \, \text{hg}\), \(s = 3.7 \, \text{hg}\))?
**What is the confidence interval for the population mean \(\mu\)?**
\[ \text{hg} < \mu < \text{hg} \]
*(Round to one decimal place as needed.)*
**Are the results between the two confidence intervals very different?**
- **A.** No, because the confidence interval limits are similar.
- **B.** Yes, because one confidence interval does not contain the mean of the other confidence interval.
- **C.** No, because each confidence interval contains the mean of the other confidence interval.
- **D.** Yes, because the confidence interval limits are not similar.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe4311afe-187b-40d8-a31a-3b5ac958ea7b%2Ffcf8258e-b2fb-42f1-9053-8f71ce3892f7%2Fyhc4ogo_processed.png&w=3840&q=75)
Transcribed Image Text:Here are summary statistics for randomly selected weights of newborn girls:
- Sample size (n) = 198
- Sample mean (\(\bar{x}\)) = 31.5 hg
- Standard deviation (s) = 7.9 hg
Construct a confidence interval estimate of the mean using a 98% confidence level. Are these results very different from the confidence interval \(29.3 \, \text{hg} < \mu < 34.1 \, \text{hg}\) with only 16 sample values (\(\bar{x} = 31.7 \, \text{hg}\), \(s = 3.7 \, \text{hg}\))?
**What is the confidence interval for the population mean \(\mu\)?**
\[ \text{hg} < \mu < \text{hg} \]
*(Round to one decimal place as needed.)*
**Are the results between the two confidence intervals very different?**
- **A.** No, because the confidence interval limits are similar.
- **B.** Yes, because one confidence interval does not contain the mean of the other confidence interval.
- **C.** No, because each confidence interval contains the mean of the other confidence interval.
- **D.** Yes, because the confidence interval limits are not similar.
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